Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.6 Apply Sum and Difference Formulas - 14.6 Exercises - Skill Practice - Page 952: 22

Answer

$$\tan \left(x\right)$$

Work Step by Step

Simplifying the expression using the sum and difference formulas, we find: $$\frac{\sin \left(x-2\pi \right)}{\cos \left(x-2\pi \right)} \\ \frac{-\cos \left(x\right)\sin \left(2\pi \right)+\cos \left(2\pi \right)\sin \left(x\right)}{\cos \left(x\right)\cos \left(2\pi \right)+\sin \left(x\right)\sin \left(2\pi \right)} \\ \frac{\sin \left(x\right)}{\cos \left(x\right)} \\\tan \left(x\right) $$
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